Title :
State feedback stabilization and majorizing achievement of min-max-plus systems
Author :
Tao, Yuegang ; Liu, Guo-Ping
Author_Institution :
Lab. of Complex Syst. & Intelligence Sci., Chinese Acad. of Sci., Beijing, China
Abstract :
The state feedback stabilization of min-max-plus systems is investigated in this note. The concepts of digraph description, (r,s)-reachability, max-plus projection direct product, etc., are introduced to deal with the stability. The sufficient condition and the necessary condition for the state feedback stabilization are presented respectively and the desired eigenvalue area is determined. Moreover, the state feedback is constructed for majorizing achievement of the stabilization and the corresponding algorithm is derived.
Keywords :
discrete event systems; minimax techniques; stability; state feedback; digraph description; discrete-event system; min-max-plus systems; state feedback stabilization; Computer aided manufacturing; Computer science; Control systems; Discrete event systems; Eigenvalues and eigenfunctions; Operations research; Stability; State feedback; Sufficient conditions; Virtual manufacturing; Desired eigenvalue area; discrete-event systems; majorizing achievement; min–max–plus systems; state feedback stabilization;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2005.860240